Finite systems

Properties of mesoscopic systems such as: nuclei, quantum dots and rotating Bose-Eistein condensate (BEC), - is an active research line in many-body physics. In these systems quantum effects produced by a finite number of fermions and/or bosons determine the dynamics of many-body system confined in a restricted space. The properties of these systems are quite different from those of bulk system.The interplay between particle-particle interaction and external potentials produces a rich variety of novel phenomena: dynamical instabilities, formation of localized states like Wigner molecule in quantum dots, arrays of vortexes in rotating BEC, various type of transitions from a superfluid to a normal phase due to external fields. Our aim is to develop theoretical models to shed light on common and specific for a given system features of interacting electrons or/and bosons. Among most important tasks is to formulate a theory of collective excitations in finite systems in external fields of different intensities and predict new phenomena.